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Simplifying 2(17h + -4) = -6(-6h + 4) Reorder the terms: 2(-4 + 17h) = -6(-6h + 4) (-4 * 2 + 17h * 2) = -6(-6h + 4) (-8 + 34h) = -6(-6h + 4) Reorder the terms: -8 + 34h = -6(4 + -6h) -8 + 34h = (4 * -6 + -6h * -6) -8 + 34h = (-24 + 36h) Solving -8 + 34h = -24 + 36h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-36h' to each side of the equation. -8 + 34h + -36h = -24 + 36h + -36h Combine like terms: 34h + -36h = -2h -8 + -2h = -24 + 36h + -36h Combine like terms: 36h + -36h = 0 -8 + -2h = -24 + 0 -8 + -2h = -24 Add '8' to each side of the equation. -8 + 8 + -2h = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -2h = -24 + 8 -2h = -24 + 8 Combine like terms: -24 + 8 = -16 -2h = -16 Divide each side by '-2'. h = 8 Simplifying h = 8
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