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Simplifying (5a + 3b + 6c) + (2a + -4b + 13c) = 7a + -1b + 19c Remove parenthesis around (5a + 3b + 6c) 5a + 3b + 6c + (2a + -4b + 13c) = 7a + -1b + 19c Remove parenthesis around (2a + -4b + 13c) 5a + 3b + 6c + 2a + -4b + 13c = 7a + -1b + 19c Reorder the terms: 5a + 2a + 3b + -4b + 6c + 13c = 7a + -1b + 19c Combine like terms: 5a + 2a = 7a 7a + 3b + -4b + 6c + 13c = 7a + -1b + 19c Combine like terms: 3b + -4b = -1b 7a + -1b + 6c + 13c = 7a + -1b + 19c Combine like terms: 6c + 13c = 19c 7a + -1b + 19c = 7a + -1b + 19c Add '-7a' to each side of the equation. 7a + -1b + -7a + 19c = 7a + -1b + -7a + 19c Reorder the terms: 7a + -7a + -1b + 19c = 7a + -1b + -7a + 19c Combine like terms: 7a + -7a = 0 0 + -1b + 19c = 7a + -1b + -7a + 19c -1b + 19c = 7a + -1b + -7a + 19c Reorder the terms: -1b + 19c = 7a + -7a + -1b + 19c Combine like terms: 7a + -7a = 0 -1b + 19c = 0 + -1b + 19c -1b + 19c = -1b + 19c Add 'b' to each side of the equation. -1b + b + 19c = -1b + b + 19c Combine like terms: -1b + b = 0 0 + 19c = -1b + b + 19c 19c = -1b + b + 19c Combine like terms: -1b + b = 0 19c = 0 + 19c 19c = 19c Add '-19c' to each side of the equation. 19c + -19c = 19c + -19c Combine like terms: 19c + -19c = 0 0 = 19c + -19c Combine like terms: 19c + -19c = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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