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Simplifying 6a + 3 = 4(a + -4) + 17 Reorder the terms: 3 + 6a = 4(a + -4) + 17 Reorder the terms: 3 + 6a = 4(-4 + a) + 17 3 + 6a = (-4 * 4 + a * 4) + 17 3 + 6a = (-16 + 4a) + 17 Reorder the terms: 3 + 6a = -16 + 17 + 4a Combine like terms: -16 + 17 = 1 3 + 6a = 1 + 4a Solving 3 + 6a = 1 + 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. 3 + 6a + -4a = 1 + 4a + -4a Combine like terms: 6a + -4a = 2a 3 + 2a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 3 + 2a = 1 + 0 3 + 2a = 1 Add '-3' to each side of the equation. 3 + -3 + 2a = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 1 + -3 2a = 1 + -3 Combine like terms: 1 + -3 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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