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Simplifying -70 = a + 4(6a + -5) Reorder the terms: -70 = a + 4(-5 + 6a) -70 = a + (-5 * 4 + 6a * 4) -70 = a + (-20 + 24a) Reorder the terms: -70 = -20 + a + 24a Combine like terms: a + 24a = 25a -70 = -20 + 25a Solving -70 = -20 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. -70 + -25a = -20 + 25a + -25a Combine like terms: 25a + -25a = 0 -70 + -25a = -20 + 0 -70 + -25a = -20 Add '70' to each side of the equation. -70 + 70 + -25a = -20 + 70 Combine like terms: -70 + 70 = 0 0 + -25a = -20 + 70 -25a = -20 + 70 Combine like terms: -20 + 70 = 50 -25a = 50 Divide each side by '-25'. a = -2 Simplifying a = -2
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