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Simplifying 3(a + 5) + 4(p + -2) = 4(p + -6) Reorder the terms: 3(5 + a) + 4(p + -2) = 4(p + -6) (5 * 3 + a * 3) + 4(p + -2) = 4(p + -6) (15 + 3a) + 4(p + -2) = 4(p + -6) Reorder the terms: 15 + 3a + 4(-2 + p) = 4(p + -6) 15 + 3a + (-2 * 4 + p * 4) = 4(p + -6) 15 + 3a + (-8 + 4p) = 4(p + -6) Reorder the terms: 15 + -8 + 3a + 4p = 4(p + -6) Combine like terms: 15 + -8 = 7 7 + 3a + 4p = 4(p + -6) Reorder the terms: 7 + 3a + 4p = 4(-6 + p) 7 + 3a + 4p = (-6 * 4 + p * 4) 7 + 3a + 4p = (-24 + 4p) Add '-4p' to each side of the equation. 7 + 3a + 4p + -4p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + 3a + 0 = -24 + 4p + -4p 7 + 3a = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + 3a = -24 + 0 7 + 3a = -24 Solving 7 + 3a = -24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3a = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = -24 + -7 3a = -24 + -7 Combine like terms: -24 + -7 = -31 3a = -31 Divide each side by '3'. a = -10.33333333 Simplifying a = -10.33333333
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