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Simplifying 1.7(3h + -4) = 3.5(2h + -6) Reorder the terms: 1.7(-4 + 3h) = 3.5(2h + -6) (-4 * 1.7 + 3h * 1.7) = 3.5(2h + -6) (-6.8 + 5.1h) = 3.5(2h + -6) Reorder the terms: -6.8 + 5.1h = 3.5(-6 + 2h) -6.8 + 5.1h = (-6 * 3.5 + 2h * 3.5) -6.8 + 5.1h = (-21 + 7h) Solving -6.8 + 5.1h = -21 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. -6.8 + 5.1h + -7h = -21 + 7h + -7h Combine like terms: 5.1h + -7h = -1.9h -6.8 + -1.9h = -21 + 7h + -7h Combine like terms: 7h + -7h = 0 -6.8 + -1.9h = -21 + 0 -6.8 + -1.9h = -21 Add '6.8' to each side of the equation. -6.8 + 6.8 + -1.9h = -21 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + -1.9h = -21 + 6.8 -1.9h = -21 + 6.8 Combine like terms: -21 + 6.8 = -14.2 -1.9h = -14.2 Divide each side by '-1.9'. h = 7.473684211 Simplifying h = 7.473684211
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