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Simplifying -2(a + 14) + a = 4(a + 8) Reorder the terms: -2(14 + a) + a = 4(a + 8) (14 * -2 + a * -2) + a = 4(a + 8) (-28 + -2a) + a = 4(a + 8) Combine like terms: -2a + a = -1a -28 + -1a = 4(a + 8) Reorder the terms: -28 + -1a = 4(8 + a) -28 + -1a = (8 * 4 + a * 4) -28 + -1a = (32 + 4a) Solving -28 + -1a = 32 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -28 + -1a + -4a = 32 + 4a + -4a Combine like terms: -1a + -4a = -5a -28 + -5a = 32 + 4a + -4a Combine like terms: 4a + -4a = 0 -28 + -5a = 32 + 0 -28 + -5a = 32 Add '28' to each side of the equation. -28 + 28 + -5a = 32 + 28 Combine like terms: -28 + 28 = 0 0 + -5a = 32 + 28 -5a = 32 + 28 Combine like terms: 32 + 28 = 60 -5a = 60 Divide each side by '-5'. a = -12 Simplifying a = -12
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