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Simplifying 0.333h + -4(0.666h + -3) = 0.666h + -6 Reorder the terms: 0.333h + -4(-3 + 0.666h) = 0.666h + -6 0.333h + (-3 * -4 + 0.666h * -4) = 0.666h + -6 0.333h + (12 + -2.664h) = 0.666h + -6 Reorder the terms: 12 + 0.333h + -2.664h = 0.666h + -6 Combine like terms: 0.333h + -2.664h = -2.331h 12 + -2.331h = 0.666h + -6 Reorder the terms: 12 + -2.331h = -6 + 0.666h Solving 12 + -2.331h = -6 + 0.666h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.666h' to each side of the equation. 12 + -2.331h + -0.666h = -6 + 0.666h + -0.666h Combine like terms: -2.331h + -0.666h = -2.997h 12 + -2.997h = -6 + 0.666h + -0.666h Combine like terms: 0.666h + -0.666h = 0.000 12 + -2.997h = -6 + 0.000 12 + -2.997h = -6 Add '-12' to each side of the equation. 12 + -12 + -2.997h = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2.997h = -6 + -12 -2.997h = -6 + -12 Combine like terms: -6 + -12 = -18 -2.997h = -18 Divide each side by '-2.997'. h = 6.006006006 Simplifying h = 6.006006006
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