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Simplifying -15.36(11a + -7) = -107.52(-2a + -31) Reorder the terms: -15.36(-7 + 11a) = -107.52(-2a + -31) (-7 * -15.36 + 11a * -15.36) = -107.52(-2a + -31) (107.52 + -168.96a) = -107.52(-2a + -31) Reorder the terms: 107.52 + -168.96a = -107.52(-31 + -2a) 107.52 + -168.96a = (-31 * -107.52 + -2a * -107.52) 107.52 + -168.96a = (3333.12 + 215.04a) Solving 107.52 + -168.96a = 3333.12 + 215.04a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-215.04a' to each side of the equation. 107.52 + -168.96a + -215.04a = 3333.12 + 215.04a + -215.04a Combine like terms: -168.96a + -215.04a = -384a 107.52 + -384a = 3333.12 + 215.04a + -215.04a Combine like terms: 215.04a + -215.04a = 0.00 107.52 + -384a = 3333.12 + 0.00 107.52 + -384a = 3333.12 Add '-107.52' to each side of the equation. 107.52 + -107.52 + -384a = 3333.12 + -107.52 Combine like terms: 107.52 + -107.52 = 0.00 0.00 + -384a = 3333.12 + -107.52 -384a = 3333.12 + -107.52 Combine like terms: 3333.12 + -107.52 = 3225.6 -384a = 3225.6 Divide each side by '-384'. a = -8.4 Simplifying a = -8.4
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