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Simplifying -10 + -3a = 7(4a + 3) Reorder the terms: -10 + -3a = 7(3 + 4a) -10 + -3a = (3 * 7 + 4a * 7) -10 + -3a = (21 + 28a) Solving -10 + -3a = 21 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -10 + -3a + -28a = 21 + 28a + -28a Combine like terms: -3a + -28a = -31a -10 + -31a = 21 + 28a + -28a Combine like terms: 28a + -28a = 0 -10 + -31a = 21 + 0 -10 + -31a = 21 Add '10' to each side of the equation. -10 + 10 + -31a = 21 + 10 Combine like terms: -10 + 10 = 0 0 + -31a = 21 + 10 -31a = 21 + 10 Combine like terms: 21 + 10 = 31 -31a = 31 Divide each side by '-31'. a = -1 Simplifying a = -1
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