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Simplifying 6(3H + -5) = 3(4(1 + -1H) + -7) Reorder the terms: 6(-5 + 3H) = 3(4(1 + -1H) + -7) (-5 * 6 + 3H * 6) = 3(4(1 + -1H) + -7) (-30 + 18H) = 3(4(1 + -1H) + -7) -30 + 18H = 3((1 * 4 + -1H * 4) + -7) -30 + 18H = 3((4 + -4H) + -7) Reorder the terms: -30 + 18H = 3(4 + -7 + -4H) Combine like terms: 4 + -7 = -3 -30 + 18H = 3(-3 + -4H) -30 + 18H = (-3 * 3 + -4H * 3) -30 + 18H = (-9 + -12H) Solving -30 + 18H = -9 + -12H Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '12H' to each side of the equation. -30 + 18H + 12H = -9 + -12H + 12H Combine like terms: 18H + 12H = 30H -30 + 30H = -9 + -12H + 12H Combine like terms: -12H + 12H = 0 -30 + 30H = -9 + 0 -30 + 30H = -9 Add '30' to each side of the equation. -30 + 30 + 30H = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 30H = -9 + 30 30H = -9 + 30 Combine like terms: -9 + 30 = 21 30H = 21 Divide each side by '30'. H = 0.7 Simplifying H = 0.7
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