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Simplifying -2(y + -3bp) + -4ax = 12(8 + -7bp) Reorder the terms: -2(-3bp + y) + -4ax = 12(8 + -7bp) (-3bp * -2 + y * -2) + -4ax = 12(8 + -7bp) (6bp + -2y) + -4ax = 12(8 + -7bp) Reorder the terms: -4ax + 6bp + -2y = 12(8 + -7bp) -4ax + 6bp + -2y = (8 * 12 + -7bp * 12) -4ax + 6bp + -2y = (96 + -84bp) Solving -4ax + 6bp + -2y = 96 + -84bp Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6bp' to each side of the equation. -4ax + 6bp + -6bp + -2y = 96 + -84bp + -6bp Combine like terms: 6bp + -6bp = 0 -4ax + 0 + -2y = 96 + -84bp + -6bp -4ax + -2y = 96 + -84bp + -6bp Combine like terms: -84bp + -6bp = -90bp -4ax + -2y = 96 + -90bp Add '2y' to each side of the equation. -4ax + -2y + 2y = 96 + -90bp + 2y Combine like terms: -2y + 2y = 0 -4ax + 0 = 96 + -90bp + 2y -4ax = 96 + -90bp + 2y Divide each side by '-4x'. a = -24x-1 + 22.5bpx-1 + -0.5x-1y Simplifying a = -24x-1 + 22.5bpx-1 + -0.5x-1y Reorder the terms: a = 22.5bpx-1 + -24x-1 + -0.5x-1y
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