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Simplifying -4(a + 3) + -3(-6a + -8) = -58 Reorder the terms: -4(3 + a) + -3(-6a + -8) = -58 (3 * -4 + a * -4) + -3(-6a + -8) = -58 (-12 + -4a) + -3(-6a + -8) = -58 Reorder the terms: -12 + -4a + -3(-8 + -6a) = -58 -12 + -4a + (-8 * -3 + -6a * -3) = -58 -12 + -4a + (24 + 18a) = -58 Reorder the terms: -12 + 24 + -4a + 18a = -58 Combine like terms: -12 + 24 = 12 12 + -4a + 18a = -58 Combine like terms: -4a + 18a = 14a 12 + 14a = -58 Solving 12 + 14a = -58 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14a = -58 + -12 Combine like terms: 12 + -12 = 0 0 + 14a = -58 + -12 14a = -58 + -12 Combine like terms: -58 + -12 = -70 14a = -70 Divide each side by '14'. a = -5 Simplifying a = -5
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