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Simplifying 5h + -7 = 5(h + -2) + 3BC Reorder the terms: -7 + 5h = 5(h + -2) + 3BC Reorder the terms: -7 + 5h = 5(-2 + h) + 3BC -7 + 5h = (-2 * 5 + h * 5) + 3BC -7 + 5h = (-10 + 5h) + 3BC Reorder the terms: -7 + 5h = -10 + 3BC + 5h Add '-5h' to each side of the equation. -7 + 5h + -5h = -10 + 3BC + 5h + -5h Combine like terms: 5h + -5h = 0 -7 + 0 = -10 + 3BC + 5h + -5h -7 = -10 + 3BC + 5h + -5h Combine like terms: 5h + -5h = 0 -7 = -10 + 3BC + 0 -7 = -10 + 3BC Solving -7 = -10 + 3BC Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-3BC' to each side of the equation. -7 + -3BC = -10 + 3BC + -3BC Combine like terms: 3BC + -3BC = 0 -7 + -3BC = -10 + 0 -7 + -3BC = -10 Add '7' to each side of the equation. -7 + 7 + -3BC = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -3BC = -10 + 7 -3BC = -10 + 7 Combine like terms: -10 + 7 = -3 -3BC = -3 Divide each side by '-3C'. B = C-1 Simplifying B = C-1
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