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Simplifying 10 + 2(2a + 1) = 7a + -3 Reorder the terms: 10 + 2(1 + 2a) = 7a + -3 10 + (1 * 2 + 2a * 2) = 7a + -3 10 + (2 + 4a) = 7a + -3 Combine like terms: 10 + 2 = 12 12 + 4a = 7a + -3 Reorder the terms: 12 + 4a = -3 + 7a Solving 12 + 4a = -3 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 12 + 4a + -7a = -3 + 7a + -7a Combine like terms: 4a + -7a = -3a 12 + -3a = -3 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -3a = -3 + 0 12 + -3a = -3 Add '-12' to each side of the equation. 12 + -12 + -3a = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = -3 + -12 -3a = -3 + -12 Combine like terms: -3 + -12 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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