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Simplifying 4(a + -3) = 2(a + 7) Reorder the terms: 4(-3 + a) = 2(a + 7) (-3 * 4 + a * 4) = 2(a + 7) (-12 + 4a) = 2(a + 7) Reorder the terms: -12 + 4a = 2(7 + a) -12 + 4a = (7 * 2 + a * 2) -12 + 4a = (14 + 2a) Solving -12 + 4a = 14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -12 + 4a + -2a = 14 + 2a + -2a Combine like terms: 4a + -2a = 2a -12 + 2a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 2a = 14 + 0 -12 + 2a = 14 Add '12' to each side of the equation. -12 + 12 + 2a = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = 14 + 12 2a = 14 + 12 Combine like terms: 14 + 12 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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