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Simplifying 4(2a + -7) = 3(-5a + 6) Reorder the terms: 4(-7 + 2a) = 3(-5a + 6) (-7 * 4 + 2a * 4) = 3(-5a + 6) (-28 + 8a) = 3(-5a + 6) Reorder the terms: -28 + 8a = 3(6 + -5a) -28 + 8a = (6 * 3 + -5a * 3) -28 + 8a = (18 + -15a) Solving -28 + 8a = 18 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -28 + 8a + 15a = 18 + -15a + 15a Combine like terms: 8a + 15a = 23a -28 + 23a = 18 + -15a + 15a Combine like terms: -15a + 15a = 0 -28 + 23a = 18 + 0 -28 + 23a = 18 Add '28' to each side of the equation. -28 + 28 + 23a = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 23a = 18 + 28 23a = 18 + 28 Combine like terms: 18 + 28 = 46 23a = 46 Divide each side by '23'. a = 2 Simplifying a = 2
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