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Simplifying -3(2a + 4) = -7a + 17 Reorder the terms: -3(4 + 2a) = -7a + 17 (4 * -3 + 2a * -3) = -7a + 17 (-12 + -6a) = -7a + 17 Reorder the terms: -12 + -6a = 17 + -7a Solving -12 + -6a = 17 + -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 + -6a + 7a = 17 + -7a + 7a Combine like terms: -6a + 7a = 1a -12 + 1a = 17 + -7a + 7a Combine like terms: -7a + 7a = 0 -12 + 1a = 17 + 0 -12 + 1a = 17 Add '12' to each side of the equation. -12 + 12 + 1a = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 1a = 17 + 12 1a = 17 + 12 Combine like terms: 17 + 12 = 29 1a = 29 Divide each side by '1'. a = 29 Simplifying a = 29
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