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Simplifying 7(a + 3) + -3a = 5 + 4(2a + -1) Reorder the terms: 7(3 + a) + -3a = 5 + 4(2a + -1) (3 * 7 + a * 7) + -3a = 5 + 4(2a + -1) (21 + 7a) + -3a = 5 + 4(2a + -1) Combine like terms: 7a + -3a = 4a 21 + 4a = 5 + 4(2a + -1) Reorder the terms: 21 + 4a = 5 + 4(-1 + 2a) 21 + 4a = 5 + (-1 * 4 + 2a * 4) 21 + 4a = 5 + (-4 + 8a) Combine like terms: 5 + -4 = 1 21 + 4a = 1 + 8a Solving 21 + 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. 21 + 4a + -8a = 1 + 8a + -8a Combine like terms: 4a + -8a = -4a 21 + -4a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 21 + -4a = 1 + 0 21 + -4a = 1 Add '-21' to each side of the equation. 21 + -21 + -4a = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -4a = 1 + -21 -4a = 1 + -21 Combine like terms: 1 + -21 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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