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Simplifying 5(-11h + -14) + -7h = -8(8h + -7) Reorder the terms: 5(-14 + -11h) + -7h = -8(8h + -7) (-14 * 5 + -11h * 5) + -7h = -8(8h + -7) (-70 + -55h) + -7h = -8(8h + -7) Combine like terms: -55h + -7h = -62h -70 + -62h = -8(8h + -7) Reorder the terms: -70 + -62h = -8(-7 + 8h) -70 + -62h = (-7 * -8 + 8h * -8) -70 + -62h = (56 + -64h) Solving -70 + -62h = 56 + -64h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '64h' to each side of the equation. -70 + -62h + 64h = 56 + -64h + 64h Combine like terms: -62h + 64h = 2h -70 + 2h = 56 + -64h + 64h Combine like terms: -64h + 64h = 0 -70 + 2h = 56 + 0 -70 + 2h = 56 Add '70' to each side of the equation. -70 + 70 + 2h = 56 + 70 Combine like terms: -70 + 70 = 0 0 + 2h = 56 + 70 2h = 56 + 70 Combine like terms: 56 + 70 = 126 2h = 126 Divide each side by '2'. h = 63 Simplifying h = 63
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