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Simplifying -15m + 3b + -4a = 15z + -14z + -8z + 3y Reorder the terms: -4a + 3b + -15m = 15z + -14z + -8z + 3y Reorder the terms: -4a + 3b + -15m = 3y + 15z + -14z + -8z Combine like terms: 15z + -14z = 1z -4a + 3b + -15m = 3y + 1z + -8z Combine like terms: 1z + -8z = -7z -4a + 3b + -15m = 3y + -7z Solving -4a + 3b + -15m = 3y + -7z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -4a + 3b + -3b + -15m = 3y + -3b + -7z Combine like terms: 3b + -3b = 0 -4a + 0 + -15m = 3y + -3b + -7z -4a + -15m = 3y + -3b + -7z Reorder the terms: -4a + -15m = -3b + 3y + -7z Add '15m' to each side of the equation. -4a + -15m + 15m = -3b + 3y + 15m + -7z Combine like terms: -15m + 15m = 0 -4a + 0 = -3b + 3y + 15m + -7z -4a = -3b + 3y + 15m + -7z Reorder the terms: -4a = -3b + 15m + 3y + -7z Divide each side by '-4'. a = 0.75b + -3.75m + -0.75y + 1.75z Simplifying a = 0.75b + -3.75m + -0.75y + 1.75z
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