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Simplifying 1(a + -3) = 4(a + 7) + -2a Reorder the terms: 1(-3 + a) = 4(a + 7) + -2a (-3 * 1 + a * 1) = 4(a + 7) + -2a (-3 + 1a) = 4(a + 7) + -2a Reorder the terms: -3 + 1a = 4(7 + a) + -2a -3 + 1a = (7 * 4 + a * 4) + -2a -3 + 1a = (28 + 4a) + -2a Combine like terms: 4a + -2a = 2a -3 + 1a = 28 + 2a Solving -3 + 1a = 28 + 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. -3 + 1a + -2a = 28 + 2a + -2a Combine like terms: 1a + -2a = -1a -3 + -1a = 28 + 2a + -2a Combine like terms: 2a + -2a = 0 -3 + -1a = 28 + 0 -3 + -1a = 28 Add '3' to each side of the equation. -3 + 3 + -1a = 28 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 28 + 3 -1a = 28 + 3 Combine like terms: 28 + 3 = 31 -1a = 31 Divide each side by '-1'. a = -31 Simplifying a = -31
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