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Simplifying 3a + 10 = 4(a + -1) Reorder the terms: 10 + 3a = 4(a + -1) Reorder the terms: 10 + 3a = 4(-1 + a) 10 + 3a = (-1 * 4 + a * 4) 10 + 3a = (-4 + 4a) Solving 10 + 3a = -4 + 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 + 3a + -4a = -4 + 4a + -4a Combine like terms: 3a + -4a = -1a 10 + -1a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + -1a = -4 + 0 10 + -1a = -4 Add '-10' to each side of the equation. 10 + -10 + -1a = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = -4 + -10 -1a = -4 + -10 Combine like terms: -4 + -10 = -14 -1a = -14 Divide each side by '-1'. a = 14 Simplifying a = 14
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