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Simplifying -4(3h + 2) + 10 = 2(5h + 1) Reorder the terms: -4(2 + 3h) + 10 = 2(5h + 1) (2 * -4 + 3h * -4) + 10 = 2(5h + 1) (-8 + -12h) + 10 = 2(5h + 1) Reorder the terms: -8 + 10 + -12h = 2(5h + 1) Combine like terms: -8 + 10 = 2 2 + -12h = 2(5h + 1) Reorder the terms: 2 + -12h = 2(1 + 5h) 2 + -12h = (1 * 2 + 5h * 2) 2 + -12h = (2 + 10h) Add '-2' to each side of the equation. 2 + -2 + -12h = 2 + -2 + 10h Combine like terms: 2 + -2 = 0 0 + -12h = 2 + -2 + 10h -12h = 2 + -2 + 10h Combine like terms: 2 + -2 = 0 -12h = 0 + 10h -12h = 10h Solving -12h = 10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-10h' to each side of the equation. -12h + -10h = 10h + -10h Combine like terms: -12h + -10h = -22h -22h = 10h + -10h Combine like terms: 10h + -10h = 0 -22h = 0 Divide each side by '-22'. h = 0 Simplifying h = 0
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