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Simplifying -5(5a + a) + 8(6 + 2a) = -3 + -7a Combine like terms: 5a + a = 6a -5(6a) + 8(6 + 2a) = -3 + -7a Remove parenthesis around (6a) -5 * 6a + 8(6 + 2a) = -3 + -7a Multiply -5 * 6 -30a + 8(6 + 2a) = -3 + -7a -30a + (6 * 8 + 2a * 8) = -3 + -7a -30a + (48 + 16a) = -3 + -7a Reorder the terms: 48 + -30a + 16a = -3 + -7a Combine like terms: -30a + 16a = -14a 48 + -14a = -3 + -7a Solving 48 + -14a = -3 + -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. 48 + -14a + 7a = -3 + -7a + 7a Combine like terms: -14a + 7a = -7a 48 + -7a = -3 + -7a + 7a Combine like terms: -7a + 7a = 0 48 + -7a = -3 + 0 48 + -7a = -3 Add '-48' to each side of the equation. 48 + -48 + -7a = -3 + -48 Combine like terms: 48 + -48 = 0 0 + -7a = -3 + -48 -7a = -3 + -48 Combine like terms: -3 + -48 = -51 -7a = -51 Divide each side by '-7'. a = 7.285714286 Simplifying a = 7.285714286
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