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Simplifying 5(h + 3) + -4 = 6(-3h + -2) + 4 Reorder the terms: 5(3 + h) + -4 = 6(-3h + -2) + 4 (3 * 5 + h * 5) + -4 = 6(-3h + -2) + 4 (15 + 5h) + -4 = 6(-3h + -2) + 4 Reorder the terms: 15 + -4 + 5h = 6(-3h + -2) + 4 Combine like terms: 15 + -4 = 11 11 + 5h = 6(-3h + -2) + 4 Reorder the terms: 11 + 5h = 6(-2 + -3h) + 4 11 + 5h = (-2 * 6 + -3h * 6) + 4 11 + 5h = (-12 + -18h) + 4 Reorder the terms: 11 + 5h = -12 + 4 + -18h Combine like terms: -12 + 4 = -8 11 + 5h = -8 + -18h Solving 11 + 5h = -8 + -18h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '18h' to each side of the equation. 11 + 5h + 18h = -8 + -18h + 18h Combine like terms: 5h + 18h = 23h 11 + 23h = -8 + -18h + 18h Combine like terms: -18h + 18h = 0 11 + 23h = -8 + 0 11 + 23h = -8 Add '-11' to each side of the equation. 11 + -11 + 23h = -8 + -11 Combine like terms: 11 + -11 = 0 0 + 23h = -8 + -11 23h = -8 + -11 Combine like terms: -8 + -11 = -19 23h = -19 Divide each side by '23'. h = -0.8260869565 Simplifying h = -0.8260869565
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