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Simplifying 2(3w + -5) + 4 = 15 + -1(9x + -4) Reorder the terms: 2(-5 + 3w) + 4 = 15 + -1(9x + -4) (-5 * 2 + 3w * 2) + 4 = 15 + -1(9x + -4) (-10 + 6w) + 4 = 15 + -1(9x + -4) Reorder the terms: -10 + 4 + 6w = 15 + -1(9x + -4) Combine like terms: -10 + 4 = -6 -6 + 6w = 15 + -1(9x + -4) Reorder the terms: -6 + 6w = 15 + -1(-4 + 9x) -6 + 6w = 15 + (-4 * -1 + 9x * -1) -6 + 6w = 15 + (4 + -9x) Combine like terms: 15 + 4 = 19 -6 + 6w = 19 + -9x Solving -6 + 6w = 19 + -9x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6w = 19 + 6 + -9x Combine like terms: -6 + 6 = 0 0 + 6w = 19 + 6 + -9x 6w = 19 + 6 + -9x Combine like terms: 19 + 6 = 25 6w = 25 + -9x Divide each side by '6'. w = 4.166666667 + -1.5x Simplifying w = 4.166666667 + -1.5x
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