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Simplifying 5(2ax + 3y) + -4ax = 2(ax + -5) (2ax * 5 + 3y * 5) + -4ax = 2(ax + -5) (10ax + 15y) + -4ax = 2(ax + -5) Reorder the terms: 10ax + -4ax + 15y = 2(ax + -5) Combine like terms: 10ax + -4ax = 6ax 6ax + 15y = 2(ax + -5) Reorder the terms: 6ax + 15y = 2(-5 + ax) 6ax + 15y = (-5 * 2 + ax * 2) 6ax + 15y = (-10 + 2ax) Solving 6ax + 15y = -10 + 2ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ax' to each side of the equation. 6ax + -2ax + 15y = -10 + 2ax + -2ax Combine like terms: 6ax + -2ax = 4ax 4ax + 15y = -10 + 2ax + -2ax Combine like terms: 2ax + -2ax = 0 4ax + 15y = -10 + 0 4ax + 15y = -10 Add '-15y' to each side of the equation. 4ax + 15y + -15y = -10 + -15y Combine like terms: 15y + -15y = 0 4ax + 0 = -10 + -15y 4ax = -10 + -15y Divide each side by '4x'. a = -2.5x-1 + -3.75x-1y Simplifying a = -2.5x-1 + -3.75x-1y
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