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Simplifying 4a + -7 = 5(a + -2) + 1 Reorder the terms: -7 + 4a = 5(a + -2) + 1 Reorder the terms: -7 + 4a = 5(-2 + a) + 1 -7 + 4a = (-2 * 5 + a * 5) + 1 -7 + 4a = (-10 + 5a) + 1 Reorder the terms: -7 + 4a = -10 + 1 + 5a Combine like terms: -10 + 1 = -9 -7 + 4a = -9 + 5a Solving -7 + 4a = -9 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -7 + 4a + -5a = -9 + 5a + -5a Combine like terms: 4a + -5a = -1a -7 + -1a = -9 + 5a + -5a Combine like terms: 5a + -5a = 0 -7 + -1a = -9 + 0 -7 + -1a = -9 Add '7' to each side of the equation. -7 + 7 + -1a = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = -9 + 7 -1a = -9 + 7 Combine like terms: -9 + 7 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2
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