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Simplifying 5(T + 62) = 15T + 13 + -7 Reorder the terms: 5(62 + T) = 15T + 13 + -7 (62 * 5 + T * 5) = 15T + 13 + -7 (310 + 5T) = 15T + 13 + -7 Reorder the terms: 310 + 5T = 13 + -7 + 15T Combine like terms: 13 + -7 = 6 310 + 5T = 6 + 15T Solving 310 + 5T = 6 + 15T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-15T' to each side of the equation. 310 + 5T + -15T = 6 + 15T + -15T Combine like terms: 5T + -15T = -10T 310 + -10T = 6 + 15T + -15T Combine like terms: 15T + -15T = 0 310 + -10T = 6 + 0 310 + -10T = 6 Add '-310' to each side of the equation. 310 + -310 + -10T = 6 + -310 Combine like terms: 310 + -310 = 0 0 + -10T = 6 + -310 -10T = 6 + -310 Combine like terms: 6 + -310 = -304 -10T = -304 Divide each side by '-10'. T = 30.4 Simplifying T = 30.4
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