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Simplifying 4(a + -3) = 3 + -1(a + 5) Reorder the terms: 4(-3 + a) = 3 + -1(a + 5) (-3 * 4 + a * 4) = 3 + -1(a + 5) (-12 + 4a) = 3 + -1(a + 5) Reorder the terms: -12 + 4a = 3 + -1(5 + a) -12 + 4a = 3 + (5 * -1 + a * -1) -12 + 4a = 3 + (-5 + -1a) Combine like terms: 3 + -5 = -2 -12 + 4a = -2 + -1a Solving -12 + 4a = -2 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -12 + 4a + a = -2 + -1a + a Combine like terms: 4a + a = 5a -12 + 5a = -2 + -1a + a Combine like terms: -1a + a = 0 -12 + 5a = -2 + 0 -12 + 5a = -2 Add '12' to each side of the equation. -12 + 12 + 5a = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = -2 + 12 5a = -2 + 12 Combine like terms: -2 + 12 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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