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Simplifying 0.3h + -4(0.6h + -3) = 0.6h + -6 Reorder the terms: 0.3h + -4(-3 + 0.6h) = 0.6h + -6 0.3h + (-3 * -4 + 0.6h * -4) = 0.6h + -6 0.3h + (12 + -2.4h) = 0.6h + -6 Reorder the terms: 12 + 0.3h + -2.4h = 0.6h + -6 Combine like terms: 0.3h + -2.4h = -2.1h 12 + -2.1h = 0.6h + -6 Reorder the terms: 12 + -2.1h = -6 + 0.6h Solving 12 + -2.1h = -6 + 0.6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.6h' to each side of the equation. 12 + -2.1h + -0.6h = -6 + 0.6h + -0.6h Combine like terms: -2.1h + -0.6h = -2.7h 12 + -2.7h = -6 + 0.6h + -0.6h Combine like terms: 0.6h + -0.6h = 0.0 12 + -2.7h = -6 + 0.0 12 + -2.7h = -6 Add '-12' to each side of the equation. 12 + -12 + -2.7h = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2.7h = -6 + -12 -2.7h = -6 + -12 Combine like terms: -6 + -12 = -18 -2.7h = -18 Divide each side by '-2.7'. h = 6.666666667 Simplifying h = 6.666666667
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