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Simplifying 10(2a + 2) + -12 = 4(a + -2) Reorder the terms: 10(2 + 2a) + -12 = 4(a + -2) (2 * 10 + 2a * 10) + -12 = 4(a + -2) (20 + 20a) + -12 = 4(a + -2) Reorder the terms: 20 + -12 + 20a = 4(a + -2) Combine like terms: 20 + -12 = 8 8 + 20a = 4(a + -2) Reorder the terms: 8 + 20a = 4(-2 + a) 8 + 20a = (-2 * 4 + a * 4) 8 + 20a = (-8 + 4a) Solving 8 + 20a = -8 + 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. 8 + 20a + -4a = -8 + 4a + -4a Combine like terms: 20a + -4a = 16a 8 + 16a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 8 + 16a = -8 + 0 8 + 16a = -8 Add '-8' to each side of the equation. 8 + -8 + 16a = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 16a = -8 + -8 16a = -8 + -8 Combine like terms: -8 + -8 = -16 16a = -16 Divide each side by '16'. a = -1 Simplifying a = -1
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