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Simplifying 8(a + -4) + -2a = 3(a + 1) + 28 Reorder the terms: 8(-4 + a) + -2a = 3(a + 1) + 28 (-4 * 8 + a * 8) + -2a = 3(a + 1) + 28 (-32 + 8a) + -2a = 3(a + 1) + 28 Combine like terms: 8a + -2a = 6a -32 + 6a = 3(a + 1) + 28 Reorder the terms: -32 + 6a = 3(1 + a) + 28 -32 + 6a = (1 * 3 + a * 3) + 28 -32 + 6a = (3 + 3a) + 28 Reorder the terms: -32 + 6a = 3 + 28 + 3a Combine like terms: 3 + 28 = 31 -32 + 6a = 31 + 3a Solving -32 + 6a = 31 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -32 + 6a + -3a = 31 + 3a + -3a Combine like terms: 6a + -3a = 3a -32 + 3a = 31 + 3a + -3a Combine like terms: 3a + -3a = 0 -32 + 3a = 31 + 0 -32 + 3a = 31 Add '32' to each side of the equation. -32 + 32 + 3a = 31 + 32 Combine like terms: -32 + 32 = 0 0 + 3a = 31 + 32 3a = 31 + 32 Combine like terms: 31 + 32 = 63 3a = 63 Divide each side by '3'. a = 21 Simplifying a = 21
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