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Simplifying 3a + -7 = 5(2a + -3) + 4 Reorder the terms: -7 + 3a = 5(2a + -3) + 4 Reorder the terms: -7 + 3a = 5(-3 + 2a) + 4 -7 + 3a = (-3 * 5 + 2a * 5) + 4 -7 + 3a = (-15 + 10a) + 4 Reorder the terms: -7 + 3a = -15 + 4 + 10a Combine like terms: -15 + 4 = -11 -7 + 3a = -11 + 10a Solving -7 + 3a = -11 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -7 + 3a + -10a = -11 + 10a + -10a Combine like terms: 3a + -10a = -7a -7 + -7a = -11 + 10a + -10a Combine like terms: 10a + -10a = 0 -7 + -7a = -11 + 0 -7 + -7a = -11 Add '7' to each side of the equation. -7 + 7 + -7a = -11 + 7 Combine like terms: -7 + 7 = 0 0 + -7a = -11 + 7 -7a = -11 + 7 Combine like terms: -11 + 7 = -4 -7a = -4 Divide each side by '-7'. a = 0.5714285714 Simplifying a = 0.5714285714
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