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Simplifying 5(a + -7) = 15a + -1(4a + -20) Reorder the terms: 5(-7 + a) = 15a + -1(4a + -20) (-7 * 5 + a * 5) = 15a + -1(4a + -20) (-35 + 5a) = 15a + -1(4a + -20) Reorder the terms: -35 + 5a = 15a + -1(-20 + 4a) -35 + 5a = 15a + (-20 * -1 + 4a * -1) -35 + 5a = 15a + (20 + -4a) Reorder the terms: -35 + 5a = 20 + 15a + -4a Combine like terms: 15a + -4a = 11a -35 + 5a = 20 + 11a Solving -35 + 5a = 20 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -35 + 5a + -11a = 20 + 11a + -11a Combine like terms: 5a + -11a = -6a -35 + -6a = 20 + 11a + -11a Combine like terms: 11a + -11a = 0 -35 + -6a = 20 + 0 -35 + -6a = 20 Add '35' to each side of the equation. -35 + 35 + -6a = 20 + 35 Combine like terms: -35 + 35 = 0 0 + -6a = 20 + 35 -6a = 20 + 35 Combine like terms: 20 + 35 = 55 -6a = 55 Divide each side by '-6'. a = -9.166666667 Simplifying a = -9.166666667
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