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Simplifying 4a + -7 = 3(2a + 5) + -2 Reorder the terms: -7 + 4a = 3(2a + 5) + -2 Reorder the terms: -7 + 4a = 3(5 + 2a) + -2 -7 + 4a = (5 * 3 + 2a * 3) + -2 -7 + 4a = (15 + 6a) + -2 Reorder the terms: -7 + 4a = 15 + -2 + 6a Combine like terms: 15 + -2 = 13 -7 + 4a = 13 + 6a Solving -7 + 4a = 13 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -7 + 4a + -6a = 13 + 6a + -6a Combine like terms: 4a + -6a = -2a -7 + -2a = 13 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + -2a = 13 + 0 -7 + -2a = 13 Add '7' to each side of the equation. -7 + 7 + -2a = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 13 + 7 -2a = 13 + 7 Combine like terms: 13 + 7 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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