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Simplifying -5(5a + 9) + 8(6 + 2a) = -3 + -7a Reorder the terms: -5(9 + 5a) + 8(6 + 2a) = -3 + -7a (9 * -5 + 5a * -5) + 8(6 + 2a) = -3 + -7a (-45 + -25a) + 8(6 + 2a) = -3 + -7a -45 + -25a + (6 * 8 + 2a * 8) = -3 + -7a -45 + -25a + (48 + 16a) = -3 + -7a Reorder the terms: -45 + 48 + -25a + 16a = -3 + -7a Combine like terms: -45 + 48 = 3 3 + -25a + 16a = -3 + -7a Combine like terms: -25a + 16a = -9a 3 + -9a = -3 + -7a Solving 3 + -9a = -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. 3 + -9a + 7a = -3 + -7a + 7a Combine like terms: -9a + 7a = -2a 3 + -2a = -3 + -7a + 7a Combine like terms: -7a + 7a = 0 3 + -2a = -3 + 0 3 + -2a = -3 Add '-3' to each side of the equation. 3 + -3 + -2a = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = -3 + -3 -2a = -3 + -3 Combine like terms: -3 + -3 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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