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Simplifying 7 + 4(a + -3) = 14 + -1(a + 4) Reorder the terms: 7 + 4(-3 + a) = 14 + -1(a + 4) 7 + (-3 * 4 + a * 4) = 14 + -1(a + 4) 7 + (-12 + 4a) = 14 + -1(a + 4) Combine like terms: 7 + -12 = -5 -5 + 4a = 14 + -1(a + 4) Reorder the terms: -5 + 4a = 14 + -1(4 + a) -5 + 4a = 14 + (4 * -1 + a * -1) -5 + 4a = 14 + (-4 + -1a) Combine like terms: 14 + -4 = 10 -5 + 4a = 10 + -1a Solving -5 + 4a = 10 + -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. -5 + 4a + a = 10 + -1a + a Combine like terms: 4a + a = 5a -5 + 5a = 10 + -1a + a Combine like terms: -1a + a = 0 -5 + 5a = 10 + 0 -5 + 5a = 10 Add '5' to each side of the equation. -5 + 5 + 5a = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 5a = 10 + 5 5a = 10 + 5 Combine like terms: 10 + 5 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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