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Simplifying -8(-5h + 4) + -7(-9h + -9) + 11 = -4(-9h + -8) + -11h Reorder the terms: -8(4 + -5h) + -7(-9h + -9) + 11 = -4(-9h + -8) + -11h (4 * -8 + -5h * -8) + -7(-9h + -9) + 11 = -4(-9h + -8) + -11h (-32 + 40h) + -7(-9h + -9) + 11 = -4(-9h + -8) + -11h Reorder the terms: -32 + 40h + -7(-9 + -9h) + 11 = -4(-9h + -8) + -11h -32 + 40h + (-9 * -7 + -9h * -7) + 11 = -4(-9h + -8) + -11h -32 + 40h + (63 + 63h) + 11 = -4(-9h + -8) + -11h Reorder the terms: -32 + 63 + 11 + 40h + 63h = -4(-9h + -8) + -11h Combine like terms: -32 + 63 = 31 31 + 11 + 40h + 63h = -4(-9h + -8) + -11h Combine like terms: 31 + 11 = 42 42 + 40h + 63h = -4(-9h + -8) + -11h Combine like terms: 40h + 63h = 103h 42 + 103h = -4(-9h + -8) + -11h Reorder the terms: 42 + 103h = -4(-8 + -9h) + -11h 42 + 103h = (-8 * -4 + -9h * -4) + -11h 42 + 103h = (32 + 36h) + -11h Combine like terms: 36h + -11h = 25h 42 + 103h = 32 + 25h Solving 42 + 103h = 32 + 25h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-25h' to each side of the equation. 42 + 103h + -25h = 32 + 25h + -25h Combine like terms: 103h + -25h = 78h 42 + 78h = 32 + 25h + -25h Combine like terms: 25h + -25h = 0 42 + 78h = 32 + 0 42 + 78h = 32 Add '-42' to each side of the equation. 42 + -42 + 78h = 32 + -42 Combine like terms: 42 + -42 = 0 0 + 78h = 32 + -42 78h = 32 + -42 Combine like terms: 32 + -42 = -10 78h = -10 Divide each side by '78'. h = -0.1282051282 Simplifying h = -0.1282051282
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