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Simplifying 8(-1h + -16) = 14 + 6(5h + 8) Reorder the terms: 8(-16 + -1h) = 14 + 6(5h + 8) (-16 * 8 + -1h * 8) = 14 + 6(5h + 8) (-128 + -8h) = 14 + 6(5h + 8) Reorder the terms: -128 + -8h = 14 + 6(8 + 5h) -128 + -8h = 14 + (8 * 6 + 5h * 6) -128 + -8h = 14 + (48 + 30h) Combine like terms: 14 + 48 = 62 -128 + -8h = 62 + 30h Solving -128 + -8h = 62 + 30h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-30h' to each side of the equation. -128 + -8h + -30h = 62 + 30h + -30h Combine like terms: -8h + -30h = -38h -128 + -38h = 62 + 30h + -30h Combine like terms: 30h + -30h = 0 -128 + -38h = 62 + 0 -128 + -38h = 62 Add '128' to each side of the equation. -128 + 128 + -38h = 62 + 128 Combine like terms: -128 + 128 = 0 0 + -38h = 62 + 128 -38h = 62 + 128 Combine like terms: 62 + 128 = 190 -38h = 190 Divide each side by '-38'. h = -5 Simplifying h = -5
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