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Simplifying 2a + -23 = 7(a + -4) Reorder the terms: -23 + 2a = 7(a + -4) Reorder the terms: -23 + 2a = 7(-4 + a) -23 + 2a = (-4 * 7 + a * 7) -23 + 2a = (-28 + 7a) Solving -23 + 2a = -28 + 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. -23 + 2a + -7a = -28 + 7a + -7a Combine like terms: 2a + -7a = -5a -23 + -5a = -28 + 7a + -7a Combine like terms: 7a + -7a = 0 -23 + -5a = -28 + 0 -23 + -5a = -28 Add '23' to each side of the equation. -23 + 23 + -5a = -28 + 23 Combine like terms: -23 + 23 = 0 0 + -5a = -28 + 23 -5a = -28 + 23 Combine like terms: -28 + 23 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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