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Simplifying 1.7(3h + -4) = 3.4(2h + -20.4) Reorder the terms: 1.7(-4 + 3h) = 3.4(2h + -20.4) (-4 * 1.7 + 3h * 1.7) = 3.4(2h + -20.4) (-6.8 + 5.1h) = 3.4(2h + -20.4) Reorder the terms: -6.8 + 5.1h = 3.4(-20.4 + 2h) -6.8 + 5.1h = (-20.4 * 3.4 + 2h * 3.4) -6.8 + 5.1h = (-69.36 + 6.8h) Solving -6.8 + 5.1h = -69.36 + 6.8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6.8h' to each side of the equation. -6.8 + 5.1h + -6.8h = -69.36 + 6.8h + -6.8h Combine like terms: 5.1h + -6.8h = -1.7h -6.8 + -1.7h = -69.36 + 6.8h + -6.8h Combine like terms: 6.8h + -6.8h = 0.0 -6.8 + -1.7h = -69.36 + 0.0 -6.8 + -1.7h = -69.36 Add '6.8' to each side of the equation. -6.8 + 6.8 + -1.7h = -69.36 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + -1.7h = -69.36 + 6.8 -1.7h = -69.36 + 6.8 Combine like terms: -69.36 + 6.8 = -62.56 -1.7h = -62.56 Divide each side by '-1.7'. h = 36.8 Simplifying h = 36.8
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