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Simplifying 3(2a + -3) + 4 = 7a + -7 Reorder the terms: 3(-3 + 2a) + 4 = 7a + -7 (-3 * 3 + 2a * 3) + 4 = 7a + -7 (-9 + 6a) + 4 = 7a + -7 Reorder the terms: -9 + 4 + 6a = 7a + -7 Combine like terms: -9 + 4 = -5 -5 + 6a = 7a + -7 Reorder the terms: -5 + 6a = -7 + 7a Solving -5 + 6a = -7 + 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. -5 + 6a + -7a = -7 + 7a + -7a Combine like terms: 6a + -7a = -1a -5 + -1a = -7 + 7a + -7a Combine like terms: 7a + -7a = 0 -5 + -1a = -7 + 0 -5 + -1a = -7 Add '5' to each side of the equation. -5 + 5 + -1a = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = -7 + 5 -1a = -7 + 5 Combine like terms: -7 + 5 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2
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