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Simplifying 1 + 3(a + -4) = 5(3a + 7) Reorder the terms: 1 + 3(-4 + a) = 5(3a + 7) 1 + (-4 * 3 + a * 3) = 5(3a + 7) 1 + (-12 + 3a) = 5(3a + 7) Combine like terms: 1 + -12 = -11 -11 + 3a = 5(3a + 7) Reorder the terms: -11 + 3a = 5(7 + 3a) -11 + 3a = (7 * 5 + 3a * 5) -11 + 3a = (35 + 15a) Solving -11 + 3a = 35 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -11 + 3a + -15a = 35 + 15a + -15a Combine like terms: 3a + -15a = -12a -11 + -12a = 35 + 15a + -15a Combine like terms: 15a + -15a = 0 -11 + -12a = 35 + 0 -11 + -12a = 35 Add '11' to each side of the equation. -11 + 11 + -12a = 35 + 11 Combine like terms: -11 + 11 = 0 0 + -12a = 35 + 11 -12a = 35 + 11 Combine like terms: 35 + 11 = 46 -12a = 46 Divide each side by '-12'. a = -3.833333333 Simplifying a = -3.833333333
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