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Simplifying -8(a + -3) + -7(a + -6) = 0 Reorder the terms: -8(-3 + a) + -7(a + -6) = 0 (-3 * -8 + a * -8) + -7(a + -6) = 0 (24 + -8a) + -7(a + -6) = 0 Reorder the terms: 24 + -8a + -7(-6 + a) = 0 24 + -8a + (-6 * -7 + a * -7) = 0 24 + -8a + (42 + -7a) = 0 Reorder the terms: 24 + 42 + -8a + -7a = 0 Combine like terms: 24 + 42 = 66 66 + -8a + -7a = 0 Combine like terms: -8a + -7a = -15a 66 + -15a = 0 Solving 66 + -15a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -15a = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -15a = 0 + -66 -15a = 0 + -66 Combine like terms: 0 + -66 = -66 -15a = -66 Divide each side by '-15'. a = 4.4 Simplifying a = 4.4
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