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Simplifying 7(a + 1) + -3a = 5 + 4(2a + -1) Reorder the terms: 7(1 + a) + -3a = 5 + 4(2a + -1) (1 * 7 + a * 7) + -3a = 5 + 4(2a + -1) (7 + 7a) + -3a = 5 + 4(2a + -1) Combine like terms: 7a + -3a = 4a 7 + 4a = 5 + 4(2a + -1) Reorder the terms: 7 + 4a = 5 + 4(-1 + 2a) 7 + 4a = 5 + (-1 * 4 + 2a * 4) 7 + 4a = 5 + (-4 + 8a) Combine like terms: 5 + -4 = 1 7 + 4a = 1 + 8a Solving 7 + 4a = 1 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 7 + 4a + -8a = 1 + 8a + -8a Combine like terms: 4a + -8a = -4a 7 + -4a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 7 + -4a = 1 + 0 7 + -4a = 1 Add '-7' to each side of the equation. 7 + -7 + -4a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 1 + -7 -4a = 1 + -7 Combine like terms: 1 + -7 = -6 -4a = -6 Divide each side by '-4'. a = 1.5 Simplifying a = 1.5
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