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Simplifying 6(4a + -7) + (4a + -15) = 4(0 + 0) + 28 Reorder the terms: 6(-7 + 4a) + (4a + -15) = 4(0 + 0) + 28 (-7 * 6 + 4a * 6) + (4a + -15) = 4(0 + 0) + 28 (-42 + 24a) + (4a + -15) = 4(0 + 0) + 28 Reorder the terms: -42 + 24a + (-15 + 4a) = 4(0 + 0) + 28 Remove parenthesis around (-15 + 4a) -42 + 24a + -15 + 4a = 4(0 + 0) + 28 Reorder the terms: -42 + -15 + 24a + 4a = 4(0 + 0) + 28 Combine like terms: -42 + -15 = -57 -57 + 24a + 4a = 4(0 + 0) + 28 Combine like terms: 24a + 4a = 28a -57 + 28a = 4(0 + 0) + 28 Combine like terms: 0 + 0 = 0 -57 + 28a = 4(0) + 28 Multiply 4 * 0 -57 + 28a = 0 + 28 Anything times zero is zero. -57 + 28a = 0 + 28 Combine like terms: 0 + 28 = 28 -57 + 28a = 28 Solving -57 + 28a = 28 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 = 28 + 57 Combine like terms: -57 + 57 = 0 0 + 28a = 28 + 57 28a = 28 + 57 Combine like terms: 28 + 57 = 85 28a = 85 Divide each side by '28'. a = 3.035714286 Simplifying a = 3.035714286
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