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Simplifying 8(2x + -3) = 4(3y + 6) + -40 Reorder the terms: 8(-3 + 2x) = 4(3y + 6) + -40 (-3 * 8 + 2x * 8) = 4(3y + 6) + -40 (-24 + 16x) = 4(3y + 6) + -40 Reorder the terms: -24 + 16x = 4(6 + 3y) + -40 -24 + 16x = (6 * 4 + 3y * 4) + -40 -24 + 16x = (24 + 12y) + -40 Reorder the terms: -24 + 16x = 24 + -40 + 12y Combine like terms: 24 + -40 = -16 -24 + 16x = -16 + 12y Solving -24 + 16x = -16 + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 16x = -16 + 24 + 12y Combine like terms: -24 + 24 = 0 0 + 16x = -16 + 24 + 12y 16x = -16 + 24 + 12y Combine like terms: -16 + 24 = 8 16x = 8 + 12y Divide each side by '16'. x = 0.5 + 0.75y Simplifying x = 0.5 + 0.75y
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