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Simplifying 15(a + -7) + -4a = -4(a + 5) Reorder the terms: 15(-7 + a) + -4a = -4(a + 5) (-7 * 15 + a * 15) + -4a = -4(a + 5) (-105 + 15a) + -4a = -4(a + 5) Combine like terms: 15a + -4a = 11a -105 + 11a = -4(a + 5) Reorder the terms: -105 + 11a = -4(5 + a) -105 + 11a = (5 * -4 + a * -4) -105 + 11a = (-20 + -4a) Solving -105 + 11a = -20 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -105 + 11a + 4a = -20 + -4a + 4a Combine like terms: 11a + 4a = 15a -105 + 15a = -20 + -4a + 4a Combine like terms: -4a + 4a = 0 -105 + 15a = -20 + 0 -105 + 15a = -20 Add '105' to each side of the equation. -105 + 105 + 15a = -20 + 105 Combine like terms: -105 + 105 = 0 0 + 15a = -20 + 105 15a = -20 + 105 Combine like terms: -20 + 105 = 85 15a = 85 Divide each side by '15'. a = 5.666666667 Simplifying a = 5.666666667
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