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Simplifying a + -4 = 3a + -7 Reorder the terms: -4 + a = 3a + -7 Reorder the terms: -4 + a = -7 + 3a Solving -4 + a = -7 + 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. -4 + a + -3a = -7 + 3a + -3a Combine like terms: a + -3a = -2a -4 + -2a = -7 + 3a + -3a Combine like terms: 3a + -3a = 0 -4 + -2a = -7 + 0 -4 + -2a = -7 Add '4' to each side of the equation. -4 + 4 + -2a = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = -7 + 4 -2a = -7 + 4 Combine like terms: -7 + 4 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5
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