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Simplifying 2(3h + -1) + 4h = 10(2 + -3h + 38h) Reorder the terms: 2(-1 + 3h) + 4h = 10(2 + -3h + 38h) (-1 * 2 + 3h * 2) + 4h = 10(2 + -3h + 38h) (-2 + 6h) + 4h = 10(2 + -3h + 38h) Combine like terms: 6h + 4h = 10h -2 + 10h = 10(2 + -3h + 38h) Combine like terms: -3h + 38h = 35h -2 + 10h = 10(2 + 35h) -2 + 10h = (2 * 10 + 35h * 10) -2 + 10h = (20 + 350h) Solving -2 + 10h = 20 + 350h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-350h' to each side of the equation. -2 + 10h + -350h = 20 + 350h + -350h Combine like terms: 10h + -350h = -340h -2 + -340h = 20 + 350h + -350h Combine like terms: 350h + -350h = 0 -2 + -340h = 20 + 0 -2 + -340h = 20 Add '2' to each side of the equation. -2 + 2 + -340h = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -340h = 20 + 2 -340h = 20 + 2 Combine like terms: 20 + 2 = 22 -340h = 22 Divide each side by '-340'. h = -0.06470588235 Simplifying h = -0.06470588235
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