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Simplifying (25a + -20) + -1(24 + -30) + -7a = 21 + -1(14 + -4a) Reorder the terms: (-20 + 25a) + -1(24 + -30) + -7a = 21 + -1(14 + -4a) Remove parenthesis around (-20 + 25a) -20 + 25a + -1(24 + -30) + -7a = 21 + -1(14 + -4a) Combine like terms: 24 + -30 = -6 -20 + 25a + -1(-6) + -7a = 21 + -1(14 + -4a) Multiply -1 * -6 -20 + 25a + 6 + -7a = 21 + -1(14 + -4a) Reorder the terms: -20 + 6 + 25a + -7a = 21 + -1(14 + -4a) Combine like terms: -20 + 6 = -14 -14 + 25a + -7a = 21 + -1(14 + -4a) Combine like terms: 25a + -7a = 18a -14 + 18a = 21 + -1(14 + -4a) -14 + 18a = 21 + (14 * -1 + -4a * -1) -14 + 18a = 21 + (-14 + 4a) Combine like terms: 21 + -14 = 7 -14 + 18a = 7 + 4a Solving -14 + 18a = 7 + 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. -14 + 18a + -4a = 7 + 4a + -4a Combine like terms: 18a + -4a = 14a -14 + 14a = 7 + 4a + -4a Combine like terms: 4a + -4a = 0 -14 + 14a = 7 + 0 -14 + 14a = 7 Add '14' to each side of the equation. -14 + 14 + 14a = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 14a = 7 + 14 14a = 7 + 14 Combine like terms: 7 + 14 = 21 14a = 21 Divide each side by '14'. a = 1.5 Simplifying a = 1.5
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