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Simplifying 2a + -7 = 3(a + -3) + 5 Reorder the terms: -7 + 2a = 3(a + -3) + 5 Reorder the terms: -7 + 2a = 3(-3 + a) + 5 -7 + 2a = (-3 * 3 + a * 3) + 5 -7 + 2a = (-9 + 3a) + 5 Reorder the terms: -7 + 2a = -9 + 5 + 3a Combine like terms: -9 + 5 = -4 -7 + 2a = -4 + 3a Solving -7 + 2a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7 + 2a + -3a = -4 + 3a + -3a Combine like terms: 2a + -3a = -1a -7 + -1a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + -1a = -4 + 0 -7 + -1a = -4 Add '7' to each side of the equation. -7 + 7 + -1a = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = -4 + 7 -1a = -4 + 7 Combine like terms: -4 + 7 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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