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Simplifying a + -7 = 3a + 13 Reorder the terms: -7 + a = 3a + 13 Reorder the terms: -7 + a = 13 + 3a Solving -7 + a = 13 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7 + a + -3a = 13 + 3a + -3a Combine like terms: a + -3a = -2a -7 + -2a = 13 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + -2a = 13 + 0 -7 + -2a = 13 Add '7' to each side of the equation. -7 + 7 + -2a = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 13 + 7 -2a = 13 + 7 Combine like terms: 13 + 7 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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