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Simplifying 7(2a + 3) + 5 = 4(5a + -3) + -4 Reorder the terms: 7(3 + 2a) + 5 = 4(5a + -3) + -4 (3 * 7 + 2a * 7) + 5 = 4(5a + -3) + -4 (21 + 14a) + 5 = 4(5a + -3) + -4 Reorder the terms: 21 + 5 + 14a = 4(5a + -3) + -4 Combine like terms: 21 + 5 = 26 26 + 14a = 4(5a + -3) + -4 Reorder the terms: 26 + 14a = 4(-3 + 5a) + -4 26 + 14a = (-3 * 4 + 5a * 4) + -4 26 + 14a = (-12 + 20a) + -4 Reorder the terms: 26 + 14a = -12 + -4 + 20a Combine like terms: -12 + -4 = -16 26 + 14a = -16 + 20a Solving 26 + 14a = -16 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 26 + 14a + -20a = -16 + 20a + -20a Combine like terms: 14a + -20a = -6a 26 + -6a = -16 + 20a + -20a Combine like terms: 20a + -20a = 0 26 + -6a = -16 + 0 26 + -6a = -16 Add '-26' to each side of the equation. 26 + -26 + -6a = -16 + -26 Combine like terms: 26 + -26 = 0 0 + -6a = -16 + -26 -6a = -16 + -26 Combine like terms: -16 + -26 = -42 -6a = -42 Divide each side by '-6'. a = 7 Simplifying a = 7
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