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Simplifying 6(4a + -7) + (4a + -15) = 7 Reorder the terms: 6(-7 + 4a) + (4a + -15) = 7 (-7 * 6 + 4a * 6) + (4a + -15) = 7 (-42 + 24a) + (4a + -15) = 7 Reorder the terms: -42 + 24a + (-15 + 4a) = 7 Remove parenthesis around (-15 + 4a) -42 + 24a + -15 + 4a = 7 Reorder the terms: -42 + -15 + 24a + 4a = 7 Combine like terms: -42 + -15 = -57 -57 + 24a + 4a = 7 Combine like terms: 24a + 4a = 28a -57 + 28a = 7 Solving -57 + 28a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 28a = 7 + 57 Combine like terms: -57 + 57 = 0 0 + 28a = 7 + 57 28a = 7 + 57 Combine like terms: 7 + 57 = 64 28a = 64 Divide each side by '28'. a = 2.285714286 Simplifying a = 2.285714286
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