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Simplifying 7a + -3 = 3 + 6a + 4a + -15 Reorder the terms: -3 + 7a = 3 + 6a + 4a + -15 Reorder the terms: -3 + 7a = 3 + -15 + 6a + 4a Combine like terms: 3 + -15 = -12 -3 + 7a = -12 + 6a + 4a Combine like terms: 6a + 4a = 10a -3 + 7a = -12 + 10a Solving -3 + 7a = -12 + 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. -3 + 7a + -10a = -12 + 10a + -10a Combine like terms: 7a + -10a = -3a -3 + -3a = -12 + 10a + -10a Combine like terms: 10a + -10a = 0 -3 + -3a = -12 + 0 -3 + -3a = -12 Add '3' to each side of the equation. -3 + 3 + -3a = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -3a = -12 + 3 -3a = -12 + 3 Combine like terms: -12 + 3 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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