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Simplifying 4(2a + -3) + 5 = 7a + -1 Reorder the terms: 4(-3 + 2a) + 5 = 7a + -1 (-3 * 4 + 2a * 4) + 5 = 7a + -1 (-12 + 8a) + 5 = 7a + -1 Reorder the terms: -12 + 5 + 8a = 7a + -1 Combine like terms: -12 + 5 = -7 -7 + 8a = 7a + -1 Reorder the terms: -7 + 8a = -1 + 7a Solving -7 + 8a = -1 + 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. -7 + 8a + -7a = -1 + 7a + -7a Combine like terms: 8a + -7a = 1a -7 + 1a = -1 + 7a + -7a Combine like terms: 7a + -7a = 0 -7 + 1a = -1 + 0 -7 + 1a = -1 Add '7' to each side of the equation. -7 + 7 + 1a = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 1a = -1 + 7 1a = -1 + 7 Combine like terms: -1 + 7 = 6 1a = 6 Divide each side by '1'. a = 6 Simplifying a = 6
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