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Simplifying a + 10 = 4(a + -8) Reorder the terms: 10 + a = 4(a + -8) Reorder the terms: 10 + a = 4(-8 + a) 10 + a = (-8 * 4 + a * 4) 10 + a = (-32 + 4a) Solving 10 + a = -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. 10 + a + -4a = -32 + 4a + -4a Combine like terms: a + -4a = -3a 10 + -3a = -32 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + -3a = -32 + 0 10 + -3a = -32 Add '-10' to each side of the equation. 10 + -10 + -3a = -32 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = -32 + -10 -3a = -32 + -10 Combine like terms: -32 + -10 = -42 -3a = -42 Divide each side by '-3'. a = 14 Simplifying a = 14
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